Table 2.

Empirical means and quantiles for parameters

Estimated value for:	Half-Normal distributed prior			Gamma-distributed prior			Half-Cauchy-distributed prior			Uniformly distributed prior
	Empirical mean	Quantiles		Empirical mean	Quantiles		Empirical mean	Quantiles		Empirical mean	Quantiles
		2.50%	97.50%		2.50%	97.50%		2.50%	97.50%		2.50%	97.50%
γ1	−2.35	−3.11	−1.62	−2.32	−3.08	−1.59	−2.31	−3.06	−1.59	−2.35	−3.11	−1.62
γ2	−0.66	−1.41	0.06	−0.63	−1.37	0.09	−0.62	−1.36	0.09	−0.66	−1.41	0.06
γ3	2.63	1.11	3.88	2.63	1.13	3.88	2.16	1.02	3.69	2.62	1.11	3.85
γ4	2.14	1.01	3.69	2.15	0.99	3.70	2.63	1.15	3.85	2.14	0.99	3.77
β1k0	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00
β2k	−0.21	−0.46	0.03	−0.21	−0.45	0.03	−0.21	−0.45	0.03	−0.22	−0.46	0.03
βl1	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00	0.00
βl2	−0.05	−0.44	0.34	−0.04	−0.44	0.35	−0.05	−0.44	0.34	−0.05	−0.45	0.34
βl3	−0.03	−0.43	0.36	−0.03	−0.42	0.36	−0.03	−0.41	0.36	−0.03	−0.42	0.36
h2	0.29	0.21	0.38	0.29	0.21	0.37	0.29	0.20	0.37	0.29	0.21	0.38
${\sigma }_a^2$	1.41	0.89	2.01	1.37	0.86	1.96	1.34	0.85	1.92	1.41	0.90	2.02

Empirical means and 2.50% and 97.50% quantiles for the parameters monitored in JAGS. These were calculated from the posterior distributions of each parameter.